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# Feb04 - PHY 131 University Physics II Lecture 6...

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John Shumway Department of Physics and Astronomy Arizona State University • Tempe • Arizona http://physics.asu.edu/shumway [email protected] PHY 131: University Physics II Lecture 6: Applications of Gauss’s Law Young and Freedman, Chapter 22.4, 22.5 9:00–10:15, Tuesday, February 4, 2010 PSF 173 • Department of Physics r R 1

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[email protected] Gauss’s Law relates electric flux through a closed surface to the enclosed charge; use it to calculate electric fields! E · d A = Q enc 0 Problem solving strategy: (1) Think about how the electric field should look, considering the symmetry of the charge distribution. (2) Draw a carefully chosen Gaussian surface that cuts through the point where you want to know the electric field. (3) Find the charge enclosed by the surface (Q enc ). (4) Calculate the total electric flux through the surface ( Φ E ). This expression will contain the (unknown) magnitude of the electric field, E. (5) Solve Gauss’s law, Φ E =Q enc / ε 0 , to find the magnitude of the field, E. 2
[email protected] Example: Use Gauss’s law to find the electric field a radial distance r from a line of charge with linear charge density λ . ++++++++++++++++ 1. By symmetry, E-field must be radially outward or inward.

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• Spring '10
• heckman
• Electric charge, charge density, center of sphere, Department of Physics and Astronomy Arizona State University, John Shumway

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